13834274688 has 512 divisors, whose sum is σ = 47500992000. Its totient is φ = 3925573632.

The previous prime is 13834274683. The next prime is 13834274689. The reversal of 13834274688 is 88647243831.

13834274688 is a `hidden beast` number, since 138 + 3 + 42 + 7 + 468 + 8 = 666.

It is a super-2 number, since 2×13834274688² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13834274681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45062631 + ... + 45062937.

It is an arithmetic number, because the mean of its divisors is an integer number (92775375).

Almost surely, 2^13834274688 is an apocalyptic number.

13834274688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13834274688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23750496000).

13834274688 is an abundant number, since it is smaller than the sum of its proper divisors (33666717312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13834274688 is a wasteful number, since it uses less digits than its factorization.

13834274688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 13834274688 in words is "thirteen billion, eight hundred thirty-four million, two hundred seventy-four thousand, six hundred eighty-eight".